Almost-disjoint coding and strongly saturated ideals
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Abstract:
We show that Martin’s Axiom plus $\mathfrak {c} = \aleph _{2}$ implies that there is no $(\aleph _{2}, \aleph _{2},\aleph _{0})$-saturated $\sigma$-ideal on $\omega _{1}$.References
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Additional Information
- Paul B. Larson
- Affiliation: Department of Mathematics, Miami University, Oxford, Ohio 45056
- Email: larsonpb@muohio.edu
- Received by editor(s): May 9, 2003
- Received by editor(s) in revised form: May 14, 2004
- Published electronically: March 22, 2005
- Additional Notes: The research in this paper was conducted with the support of a FAPESP fellowship (Grant # 02/11551-3) at the University of São Paulo.
- Communicated by: Alan Dow
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 2737-2739
- MSC (2000): Primary 03E50; Secondary 54D15
- DOI: https://doi.org/10.1090/S0002-9939-05-07824-X
- MathSciNet review: 2146222